Syracuse is located at . According to the 2010 census, Syracuse has a total area of, of which is land and is water.
Demographics
2010 census
At the 2010 census, there were 2,810 people, 1,158 households and 729 families living in the town. The population density was. There were 1,492 housing units at an average density of. The racial makeup of the town was 95.7% White, 0.6% African American, 0.1% Native American, 0.7% Asian, 1.6% from other races, and 1.3% from two or more races. Hispanic or Latino of any race were 5.2% of the population. There were 1,158 households of which 31.8% had children under the age of 18 living with them, 42.6% were married couplesliving together, 13.2% had a female householder with no husband present, 7.2% had a male householder with no wife present, and 37.0% were non-families. 30.1% of all households were made up of individuals and 11.1% had someone living alone who was 65 years of age or older. The average household size was 2.43 and the average family size was 2.98. The median age in the town was 37.4 years. 25.1% of residents were under the age of 18; 8.1% were between the ages of 18 and 24; 26.4% were from 25 to 44; 27.2% were from 45 to 64; and 13.1% were 65 years of age or older. The gender makeup of the town was 50.4% male and 49.6% female.
At the 2000 census, there were 3,038 people, 1,236 households and 779 families living in the town. The population density was 1,888.5 per square mile. There were 1,380 housing units at an average density of 857.8 per square mile. The racial makeup of the town was 93.75% White, 0.86% African American, 0.36% Native American, 0.56% Asian, 0.03% Pacific Islander, 2.67% from other races, and 1.78% from two or more races. Hispanic or Latino of any race were 4.64% of the population. There were 1,236 households of which 31.4% had children under the age of 18, 46.1% were married couples living together, 11.6% had a female householder with no husband present, and 36.9% were non-families. Of all households, 30.1% were made up of individuals and 11.4% had someone living alone who was 65 years of age or older. The average household size was 2.41 and the average family size was 2.98. 26.4% of the population were under the age of 18, 9.5% from 18 to 24, 27.9% from 25 to 44, 22.0% from 45 to 64, and 14.3% who were 65 years of age or older. The median age was 35 years. For every 100 females, there were 95.2 males. For every 100 females age 18 and over, there were 90.5 males. The median household income was $40,000 and the median family income was $45,968. Males had a median income of $34,526 compared with $22,820 for females. The per capita income for the town was $18,822. About 3.2% of families and 5.7% of the population were below the poverty line, including 6.9% of those under age 18 and 4.1% of those age 65 or over.